渐近非扩张映像不动点迭代逼近的CQ方法

The CQ Method for Fixed Points Iterative Approximation Involving AsymptoticallyNonexpansive Mappings

摘要

摘要:在Hilbert空间中,利用CQ方法研究了渐近非扩张映像的不动点,证明了修改的Ishikawa迭代序列强收敛到渐近非扩张映像的公共不动点,推广并改进了一些相关结论.

Abstract:By use of the CQ method，the fixed point of asymptotically nonexpansive mappings in Hilbert spaces is put under investigation, and it is proved that the modified Ishikawa iterative sequence strongly converges to the common fixed point of asymptotically nonexpansive mappings. The result generalizes and improves some corresponding results．